| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2011: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| Research Abstract |
Let X be an n-dimensional projective variety of degree d and codimension e. A point is called nonbirational center of X if the linear projection from the point induces nonbirational map to the image. By B(X) and C(X) we denote the set of nonbirational center outside of X and inside of X, respectively. In this study, first, for smooth X having C(X) of dimension at least 1, we show that X is (d-e+1)-regular in most cases. Second we show that if C(X) is a point and if the image of the linear projection from the point is rational scroll, the double point divisor of X is base-point-free. Third we give an construction of an example of X whose B(X) has two irreducible components of dimension at least one.
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